Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 549247: In how many ways is it possible to draw a sum of money from a bag containing a sovereign, a half-sovereign, a crown, a florin, a shilling, a penny, and a farthing ?
Click here to see answer by solver91311(16897)

Question 549367: How many 6-letter "words" are possible using the letters A, B, C, D, E, F (no repeats allowed)?
Click here to see answer by Alan3354(30993)

Question 549248: From 3 cocoa nuts, 4 apples, and 2 oranges, how many selections of fruit can be made, taking at least one of each kind ?
Click here to see answer by stanbon(57387)

Question 549761: how many possible ways to seat 15 kids in 15 seats?
out of 15 students how many ways to choose 5 out of the 15 students for a project?
Click here to see answer by mathie123(224)

Question 549805: In a shipment of 100 laptops, 6 are defective. If a person buys two laptops from that shipment, what is the probability that they are defective?
Click here to see answer by stanbon(57387)

Question 549852: P(7,3) = ?
Click here to see answer by jim_thompson5910(28598)

Question 549852: P(7,3) = ?
Click here to see answer by stanbon(57387)

Question 549939: There are 2 work each of 3 volumes and 2 work each of 2 volumes. In how many ways can the 10 books be placed on a shelf so that the volumes of same work are not separated ?
Answer- 3456
Click here to see answer by Theo(3464)

Question 549966: How many numbers divisible by 5 and lying between 5000 and 9000 can be formed from the digits 5, 6, 7, 8 and 9?
Click here to see answer by TutorDelphia(193)

Question 549700: Directions: Form a group of 2 to 4 people. Select someone to record the group’s responses for
this activity. All members of the group should work cooperatively to answer the questions. If
your instructor asks for the results, each member of the group should be prepared to respond.
Minimum Wage The table shows the minimum wage for
three different years.
(a) Make a scatterplot of the data in the viewing rectangle
[1930, 2010, 10] by [0, 6, 1].
(b) Find a quadratic function given by
that models the data.
(c) Estimate the minimum wage in 1976 and compare
it to the actual value of $2.30.
(d) Estimate when the minimum wage was $1.00.
(e) If current trends continue, predict the minimum
wage in 2009. Compare it to the projected value of
$7.25.
Click here to see answer by richard1234(5390)

Question 550045: If there are four red, five green and six yellow apples, how many selections of nine apples are possible if three red apples, three green apples and three yellow apples are to be selected?
Click here to see answer by stanbon(57387)

Question 549964: How many different numbers of five digits can be formed from the digits 2, 3, 0, 7, 9, 5 when repetition of digits is not allowed?
Click here to see answer by mathstutor458(57)

Question 549963: How many four digit numbers greater than 5000 can be formed by using the digits 3, 4,5,6,7, 8?
Click here to see answer by mathstutor458(57)

Question 549962: How many three digit numbers greater than 700 can be formed by using the digits 4,5,6,7,8,9?

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Question 550170: a two digits number is formed using digits 3,4,5,6 and 7 without replacement .what is the probability that the number is a multiple of 3.
Click here to see answer by MathLover1(6638)

Question 549499: Boomboom joined Scout Jamboree. Every scout was said to handshake with
each other. Some of them did not do. The total number of handshakes was 7.
Find the minimum number of handshakes which were not done?
Click here to see answer by sudhanshu_kmr(1152)

Question 550274: Vice Presidents The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research. How many different arrangements of the two vice presidents are possible?
I get 72. 9*8 =72
Click here to see answer by oberobic(2304)

Question 550439: What is the value of C
30 2?
a. 59
b. 60
c. 435
d. 870

Click here to see answer by richard1234(5390)

Question 550439: What is the value of C
30 2?
a. 59
b. 60
c. 435
d. 870

Click here to see answer by jim_thompson5910(28598)

Question 550727: We call a time on a digital clock a palindrome if it is read the same way in either direction. For example, 5:45 is a palindrome. From noon to midnight, how many palindromes appear on a digital clock?
I'm not sure how to begin this, please offer me step by step explanation! Thanks :)
Click here to see answer by jim_thompson5910(28598)

Question 550823: how many different four digit pin numbers can be made from the digits 2,3,4,5
A=if the number is less than 3000
B=if the number must be divisable by 5
C=if the number must be even
Click here to see answer by Edwin McCravy(8909)

Question 550826: seven women and three men on a committee. Committee is to consist of four. how many different ways can the committee be selected if:
A= there are no restrictions.
B= A particular person must be on the committee.
C= A particular person must not be on the committee.
D= the committee must consist of one woman and three men.
E= the committee must have more woman than men

Click here to see answer by sudhanshu_kmr(1152)

Question 550853: Ryan puts 2 nickels, 2 dimes, and 1 quarter in a bag. He then picks one coin. What is the expected value, in cents, of each pick in his experiment?
a.13 cents
b.11 cents
c.10 cents
d.9 cents

Click here to see answer by Edwin McCravy(8909)

Question 550964: how many different 4 number combinations of 1 to 6 and what are they
Click here to see answer by stanbon(57387)

Question 550988: We have 4,4,4,4 the answer is 20,we can put minus,plus,divide and multiply,how it is possible?
Click here to see answer by TutorDelphia(193)

Question 551002: A class consists of 6 girls and 10 boys. If a committee of 3 is chosen at random from the class,
find the probability that (i) 3 boys are selected, (ii) exactly 2 boys are selected, (iii) at least one
boy is selected, (iv) exactly 2 girls are selected.
I want to know the answer to subsection (ii) and how it is different from subsection (i)

Click here to see answer by sudhanshu_kmr(1152)

Question 550645: **THERE are 14 boys and 16 girls in Mr. Heath's class. The name of each student in the class was written on a slip of paper. Mr. Heath will draw a name from the bag, and WITHOUT replacing it, draw a second name. What is the probability that he will pick a boy followed by a girl?
a.1/124
b.112/435
c.2/3
d.435/443
Click here to see answer by sudhanshu_kmr(1152)

Question 551210: in how many ways can six people in line get on a bus if three person insist to follow each other?

Click here to see answer by fcabanski(874)

Question 551307: How many different lineups are possible with 9 players?
Click here to see answer by jim_thompson5910(28598)

Question 552395: How many combinations of president and vice president can be made in a class of 21?
Klreddick@AOL.com
Click here to see answer by jim_thompson5910(28598)

Question 552455: There are 4 different blood types, A, B, BA, and O. Blood can also? be Rh+ andRh-. Finally, a donor canbe male or female. How many different ways can a donor have his or her blood labeled?
Click here to see answer by neatmath(300)

Question 552593: if i have a five number password and only 4 numbers what are all the possibilities?

Click here to see answer by stanbon(57387)

Question 552588: There are 13 basketball players. All the players sit in a row on a bench. Determine the number of ways to arrange them such that the two youngest players sit together.
I got 958003200 ways. Is this correct ? :S so confusing.
Click here to see answer by AnlytcPhil(1277)

Question 553092: A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters?
Click here to see answer by jim_thompson5910(28598)

Question 553100: In a certain country, the car number plate is formed by 4 digits from the digits 1,2,3,4,5,6,7,8 and 9 followed by 3 letters from the alphabet. How many number plates can be formed?
Click here to see answer by jim_thompson5910(28598)

Question 553219: An 18-member club is choosing its president,vice president,secretary,and treasurer. In how many ways can these four officers be chosen?
Click here to see answer by jim_thompson5910(28598)

Question 552457: In a club with 17 members, how many ways can the club elect a president and a treasurer?
Click here to see answer by jim_thompson5910(28598)

Question 553392: What is the number of possible 9 digit social security numbers if the digits may be repeated?

Click here to see answer by Alan3354(30993)

Question 553588: Determine if the problem is a combination or permutation and then find the answer.
How many ways can a group of 5 people be chosen from a class of 20?
Click here to see answer by AnlytcPhil(1277)

Question 553694: Find the volume of a segment of a sphere,the radius of the base being 10.2 cms and the radius of sphere 12 cms
Click here to see answer by Theo(3464)

Question 554178: Kerri, Lara, Maddie, Nadine, and Petra are trying out for the tennis singles team. The coach is going to pick 3 members of the team randomly. If the order does not matter, in how many different ways can she pick 3 girls to make the team? Use the girls' initials and make an organized list.
Click here to see answer by richard1234(5390)

Question 554718: How many ways can 5 friends line up for lunch in the cafeteria
Click here to see answer by jim_thompson5910(28598)

Question 555038: How many 5-letter code symbols can be formed with the letters, S,T,U,V if a letter can occur more than once?
Click here to see answer by edjones(7569)

Question 555087: if you roll a single fair die and count the number of dots on top, what is the probability of getting an even number or a 5 on a single throw?
Click here to see answer by Edwin McCravy(8909)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780